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This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion . Traditional British usage assigned new names for each power of one million (the long scale ): 1,000,000 = 1 million; 1,000,0002 = 1 billion; 1,000,0003 = 1 trillion; and so on. It was adapted from French usage, and is ...
A megaprime is a prime number with at least one million decimal digits. [1]Other terms for large primes include "titanic prime", coined by Samuel Yates in the 1980s for a prime with at least 1000 digits [2] (of which the smallest is 10 999 +7), [3] and "gigantic prime" for a prime with at least 10,000 digits [4] (of which the smallest is 10 9999 +33603).
The largest known prime number is 2 82,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018. [1] A 2020 plot of the number of digits in the largest known prime by year, since the electronic computer.
A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k).
Statistical subregions as defined by the United Nations Statistics Division [1]. This is a list of countries and other inhabited territories of the world by total population, based on estimates published by the United Nations in the 2024 revision of World Population Prospects.
5×2 7755002 - 1 23 September 2021 2,334,489 201 2945×2 7753232 - 1 27 November 2022 2,333,959 202 63×2 7743186 + 1 24 April 2024 2,330,934 203 2545×2 7732265 - 1 13 January 2021 2,327,648 204 5539×2 7730709 - 1 15 January 2021 2,327,180 205 4817×2 7719584 - 1 13 June 2021 2,323,831 206 1341174×53 1341174 + 1